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Final Exam Unit 5-Unit 10 Multiple Choice Identify the choice that best completes the statement or answers the question. What is the graph of the inequality in the coordinate plane? ____ 1. a. c. y y 4 4 –4 4 –4 x –4 b. x 4 x –4 d. y y 4 4 –4 4 –4 x –4 ____ 4 –4 2. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this function? a. b. c. d. Questions 19 & 20 The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week. Number of Sports Teams 0 1 Free Time (hours) 45 39 2 3 3. What is the graph for the above relationship? a. 50 c. 50 45 45 40 40 35 35 Free Time (hr) Free Time (hr) ____ 33 27 30 25 20 30 25 20 15 15 10 10 5 5 1 2 3 4 5 1 Number of Sports Teams b. d. 45 45 40 40 35 35 30 25 20 20 10 10 5 5 4 5 1 Number of Sports Teams ____ 2 3 4 Number of Sports Teams 4. Is the above relationship a linear function? a. yes 5 25 15 3 4 30 15 2 3 50 Free Time (hr) Free Time (hr) 50 1 2 Number of Sports Teams b. no What type of relationship does the scatter plot show? 5 ____ 5. 20 y 18 16 14 12 10 8 6 4 2 1 ____ ____ 2 3 4 5 6 7 8 9 x a. positive correlation b. negative correlation c. no correlation 6. In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 20 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel? a. 1 b. 15 c. 15 d. 15 32 4 2 64 7. A basket contains 10 pieces of fruit: 5 apples, 3 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple? a. 8 b. 4 c. 1 d. 3 9 5 6 20 Short Answer . 1. KEYSTONE QUESTION The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation. The table shows the number of miles driven over time. Time (hours) Distance (miles) 4 244 6 366 8 488 610 10 What is the solution of the system? Show work. 2. x = –10 + 3y 12y = 39 + 3x . 3. Solve the equations. Use a graph 4. y = –2x – 2 y + 2 = –2x y 10 9 8 7 6 5 4 3 2 1 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1 1 2 3 4 5 6 7 8 9 x –2 –3 –4 –5 –6 –7 –8 –9 –10 What are the solutions of the inequality? 5. . What are the solutions of the compound inequality? Graph the solutions. 6. 9x – 9 < –18 or 2x + 6 > 10 . Write an inequality that represents the graph? 7. y 4 O –4 4 x –4 8. KEYSTONE QUESTION You have $39 to spend on music and movie downloads. Each album download costs $8 and each movie download costs $9. Write and graph a linear inequality that represents this situation. Let x represent the number of albums and y the number of movies. 9. Identify the domain and range, plot the points, and determine if the relation is or is not a function. y 6 5 4 3 2 1 –6 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 –6 1 2 3 4 5 6 x Domain:___________________________ Range:_____________________________ Function:___________________________ 10. Elaine has a business repairing home computers. She charges a base fee of $45 for each visit and $30 per hour for her labor. The total cost C for a home visit and x hours of labor is modeled by the function rule . Use the function rule to make a table of values and a graph. x C 0 1 2 3 C x Write an equation of a line with the given slope and y-intercept. 11. m = 4.7, b = 1.9 Write the slope-intercept form of the equation for the line. 12. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 What equation in slope intercept form represents the line that passes through the two points? 13. (–7.4, 7.6), (–5.4, 11.6) Find the x- and y-intercept of the line. 14. 7x – 5y = 105 15. Tom has a collection of 30 CDs and Nita has a collection of 10 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 7 CDs a month to her collection. Find the number of months after which they will have the same number of CDs. 16. A corner store sells two kinds of baked goods: cakes and pies. A cake costs $8 and a pie costs $14. In one day, the store sold 13 baked goods for a total of $134. How many cakes did they sell? 17. The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.10. Today they made $169.20 from the 123 wraps sold. How many of the wraps sold were vegetarian? What inequality represents the graph? 18. –5 –4 –3 –2 –1 0 1 2 3 4 5 19. Let t = the amount Thomas earned. Thomas earned $99 or more. 20. –4x < –16 21. A student scored 77 and 99 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive. Which ordered pair is a solution of the inequality? 22. Describe a pattern in each sequence. What are the next two terms of each sequence? 23. 15, 14, 13, 12, . . . y 24. 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 Find the mean, median, and mode of the data set. Round to the nearest tenth. 25. 8, 15, 7, 1, 15, 13, 9, 5, 14, 4, 12 26. A drug trial is testing the effectiveness of two drugs. If 100 patients are given Drug A, 80 patients are given Drug B, and 40 patients are given a placebo, what is the probability that a patient will NOT be given a placebo? 27. In a batch of 960 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. Final Exam Unit 5-Unit 10 Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. A C B A A D C SHORT ANSWER 1. ; Your car travels 61 miles every 1 hour. 2. (–1, 3) 3. (4, 7) y 4 4. –4 4 x –4 infinitely many solutions 5. 6. x < –1 or x > 2 –5 7. 8. –4 –3 –2 –1 0 1 2 3 4 5 y 5 Movies 4 3 2 1 0 0 1 2 3 4 5 Albums 6 7 x 9. The relation is not a function. 10. x C 0 45 1 75 2 105 3 135 C 280 240 200 160 120 80 40 1 2 3 4 11. y = 4.7x + 1.9 3 12. y = x 1 4 13. y = 2x + 22.4 14. x-intercept is 15; y-intercept is –21 15. 5 months 16. 8 cakes 17. 81 wraps 7 18. m 2 19. 5 6 x 20. x > 4 –16 –12 –8 –4 0 4 8 12 16 21. 22. 23. 24. 25. (3, 6) subtract 1 from the previous term; 11, 10 0 mean = 9.4, median = 9, mode = 15 9 26. 11 27. 1.3%